SOLUTION: A landscaper wants to construct a walk of uniform width around a rectangular vegetable garden. The current dimensions are 24 ft by 40 ft. The concrete available will cover 660 sq f

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Question 627680: A landscaper wants to construct a walk of uniform width around a rectangular vegetable garden. The current dimensions are 24 ft by 40 ft. The concrete available will cover 660 sq ft. How wide should the walkway be constructed
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

A landscaper wants to construct a walk of uniform width around a rectangular vegetable garden. 

The current dimensions are 24 ft by 40 ft. The concrete available will cover 660 sq ft. 

How widehighlight%28x%29 should the walkway be constructed

The idea is to use the entire Area of the garden and walkway...

 (24+2x)(40+2x) = 24ft%2A40ft+%2B+660ft%5E2+=1620ft%5E2 

   (24+2x)(40+2x) = 1620ft^2

   (12+x)(20+x) = 405   ||solve for the positve x solution